Answer
$5.3(1-x^{2.1})(x^{-2.3}-3.4)$
$-2.1x^{1.1} (5.3x-1)(x^{-2.3}-3.4)$
$-2.3x^{-3.3}(5.3x-1)(1-x^{2.1})$
Work Step by Step
Following example 1b, a more general product rule was introduced:
$(f\cdot g\cdot h)^{\prime}=f^{\prime}gh+fg^{\prime}h+fgh^{\prime}$
$f(x)=5.3x-1,\qquad f^{\prime}(x)=5.3$
$g(x)=1-x^{2.1},\qquad g^{\prime}(x)=-2.1x^{1.1}$
$h(x)=x^{-2.3}-3.4,\qquad h^{\prime}(x)=-2.3x^{-3.3}$
$\displaystyle \frac{dy}{dx}=(f\cdot g\cdot h)^{\prime}(x)=$
$=(5.3)(1-x^{2.1})(x^{-2.3}-3.4)+ (5.3x-1)(-2.1x^{1.1})(x^{-2.3}-3.4)+ (5.3x-1)(1-x^{2.1})(-2.3x^{-3.3})$
$=5.3(1-x^{2.1})(x^{-2.3}-3.4)$
$-2.1x^{1.1} (5.3x-1)(x^{-2.3}-3.4)$
$-2.3x^{-3.3}(5.3x-1)(1-x^{2.1})$
... we do not need to expand the answer..